Answer:
The answer is:
The Moon, on average, is about 150 million kilometers away from the Sun.
Please give me a full solution: Chuck has 9 colored beans: 6 blue beans, one green, one red and one yellow. He wants to arrange these beans such that on each side of a non-blue bean there's a blue one. In how many ways can he do that ? Thanks in advance ..
Answer: 56ways
Step-by-step explanation:
given data:
total beans = 9
blue beans = 6
red beans = 1
yellow beans = 1
green beans = 1
solution:
This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.
= ( r + n - 1 ! ) / r ! ( n - 1 )!
= 3 + 6 - 1 / 3! ( 6-1 )!
= 8! / 3! x 5!
= 40320/ 720
= 56 ways
Evaluate 12-x for x=5.
O 12
7
O 17
Answer:
7
Step-by-step explanation:
12-x
Let x = 5
12-5
7
Question
If one big rectangle represents "one whole", what fraction of area is shaded gold in the two rectangles?
Enter your answer as an improper fraction, NOT a mixed number.
Submit Question
Answer:
15/8
Step-by-step explanation:
one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.
You are required to find the fraction of the rectangle shaded gold in the two rectangles
The fraction that was shaded in the two triangles is 15/8
Each of the rectangles are divided into 8 equal parts
The first rectangle has 8 equal sections
The second rectangle also has 8 equal sections
out of the 8 equal sections in the first rectangle, 8 was shaded gold
Then, we have 8/8 shaded = 1 whole
out of the 8 equal sections in the second rectangle, 7 was shaded gold
Then, we have 7/8 shaded
Improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (down number)
Therefore, rectangle 1 + rectangle 2
= 8/8 + 7/8
= (8+7) / 8
= 15/8
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what is this help -11 =-8x
Answer:
x=1.375
Step-by-step explanation:
-11 divided by -8=1.375
Answer:x=11/8.
Step-by-step explanation: -11 =-8x -8x/-8=-11/-8 x=11/8
PLS HELP WILL GIVE BRAINIEST!!!!!! Enter your answer and show all the steps that you use to solve this problem in the space provided. Evaluate the expression for the given value of the variable(s). 5a + 5b; a=-6,b=-5
Answer:
-55
Step-by-step explanation:
Substitute the given numbers for the variables; a = -6, b = -5
5(-6)+5(-5)
-30-25=-55
Hopefully this helps!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 55}}}}}[/tex]
Step-by-step explanation:
Given, a = -6 , b = -5
[tex] \sf{5a + 5b}[/tex]
plug the value of a and b
⇒[tex] \sf{5 \times ( - 6) + 5 \times ( -5)}[/tex]
Multiply the numbers
⇒[tex] \sf{ - 30 + ( - 25)}[/tex]
We know that , [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]
⇒[tex] \sf{ - 30 - 25}[/tex]
Calculate
⇒[tex] \sf{ - 55}[/tex]
Hope I helped!
Best regards! :D
somebody please help me help me on this it’s GEOMETRY it is URGENT please DO NOT waste my answers
Answer:
∠G ≅ ∠Q
Step-by-step explanation:
Given
ΔBIG ≅ ΔPQZAnswer choices:
BI≅PQ - yes correct, corresponding∠B ≅ ∠P - yes correct, corresponding∠G ≅ ∠Q - no, incorrect, it should read ∠G ≅ ∠Z ZP ≅ GB - yes correct, correspondingSo, incorrect choice is the third one
Evaluate 13+6/y when y=6
Answer:
[tex]14 [/tex]
Step-by-step explanation:
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = 13 + 1 = 14[/tex]
or
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = \frac{78 + 6}{6} = \frac{84}{6} = 14[/tex]
Hope this helps ;) ❤❤❤
1 cup of lemon-lime : 1 1/2 cups of punch
You don't have to tell me the answer, I just need to know how to find it.
Answer:
The answer is "0.666667".
Step-by-step explanation:
Given value:
[tex]1 \text{cup of lemon-lime} : 1 \frac{1}{2} \text{cups of punch}[/tex]
calculate value:
[tex]\to 1\ \text{cup of lemon-lime} : \frac{3}{2} \ \text{cups of punch}[/tex]
[tex]\to 1 \div \frac{3}{2}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to 1 \times \frac{2}{3}\\\\\to \frac{2}{3}\ \ \ \ Or \ \ \ \ 0.666667[/tex]
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
Answer:
$3,000
Step-by-step explanation:
To find his average monthly pay, you have to find the total amount that Willian received in a year by multiplying his monthly salary as a teacher for 10 months and his salary as a barista for 2 months and adding up these numbers. Then, you have to divide the total amount he earned by 12 that is the number of months in a year:
($3,200*10)+($2,000*2)= $32,000+4,000=36,000
$36,000/12=$3,000
According to this, his average monthly pay for the 12 months was $3,000.
17. Eduardo is a 40-year-old individual who plans to retire at age 65. Between now and then, $2000 is paid annually into his IRA account, which is anticipated to pay 5% compounded annually. How much will be in the account upon Eduardo's retirement?
Answer:
FV= $95,454.20
Step-by-step explanation:
Giving the following information:
Annual deposit= $2,000
Number of periods= 25 years
Interest rate= 5% compounded annually
To calculate the future value of the annual deposits, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {2,000*[(1.05^25) - 1]} / 0.05
FV= $95,454.20
Help needed ASAP will give brainliest
Answer:
d between p and q
Step-by-step explanation:
the square root of 7 is 2.6457
Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year? StartFraction 272 over 221 EndFraction = StartFraction 13 over x EndFraction StartFraction 221 over 272 EndFraction = StartFraction x over 13 EndFraction StartFraction 221 over 13 EndFraction = StartFraction 272 over x EndFraction StartFraction 13 over 221 EndFraction = StartFraction 272 over x EndFraction
Answer:
see explanation
Step-by-step explanation:
Using proportion to find the teachers required x, then
[tex]\frac{221}{272}[/tex] = [tex]\frac{13}{x}[/tex] ( cross- multiply )
221x = 3536 ( divide both sides by 221 )
x = 16
The number of teachers required this year is 16
Answer:
For other people it is ON EDGE 2020
Step-by-step explanation:
C i reapeat it is C
Farmer Ali had a well on his property 200 feet deep. When the well went dry, he hired a company to drill the well deeper. He used the equation d = -75t – 200 to find the depth of the well, d, using the number of days the company drilled, t.
• What is the slope of the line?
Answer:
-75
Step-by-step explanation:
the equation is set up as y = mx + b
in this case, m = -75
-75
what is the equation ? 8-6|a+7|=-28
Answer:
Hopefully correct:-
Step-by-step explanation:
8-6(a+7)=-28
2(a+7)=-28
(a+7)=-28-2
(a+7)=-30
a=-30-7
a=-37
Solve this problem. A florist sells holiday bouquets that use roses and carnations in a ratio of 2 to 7. She receives a shipment of 343 carnations. How many roses will the florist need
Let roses be R and carnations be C
"in a ratio of 2 to 7" means that the ratio of R to C is 2 to 7, meaning you'll have to cross multiply to translate it algebraically
[tex]R:C\\2:7\\7R=2C\\[/tex]
since C = 343 we plug 343 in [tex]7R=2C[/tex]:
[tex]7R=2(343)\\7R=686\\R=\frac{686}{7} \\R=98[/tex]
ergo, she needs 98 roses
to make sure of the answer:
"ratio of 2 to 7" is technically a fraction => [tex]\frac{2}{7}[/tex]
and since the ratio of the roses to the carnations is the same as [tex]\frac{2}{7}[/tex] we plug the values R = 98 and C=343:
[tex]\frac{R}{C}=\frac{98}{343}=\frac{2}{7}[/tex]
check with calculator too, hope i helped <33
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster. To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of .
Complete question is;
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans
Answer:
Systematic Sample
Step-by-step explanation:
We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.
Thus, the selection is from a large sample of produce.
This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.
This resonates with the statement in the question about selecting every 18th soup from the production assembly line.
What is the quotient and remainder of 26 divided by4
Answer:
6 with a reminder of 2 :)
4 is the quotient and 2 is the remainder when 26 divided by 4.
What is Division?A division is a process of splitting a specific amount into equal parts.
The number which we divide is called the dividend.
The number by which we divide is called the divisor.
The result obtained is called the quotient.
The number left over is called the remainder.
26 divided by 4
26 is the dividend
4 is the divisor
26/4
26 we can split as 24+2
24 is divided by 6 which results 4 and 2 is the remainder. So 4 is the quotient and 2 is the remainder
Hence, 4 is the quotient and 2 is the remainder when 26 divided by 4.
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Ben worked for 14 consecutive days, earning an average wage of $230 per day as an independent contractor. During the first 8 days, Ben averaged $220 per day and his average wage for the next 5 days was $200. How much did he earn on the last day?
Answer:
460
Step-by-step explanation:
8x220=1760
5x200=1000
(2760+x)/14=230
2760+x=230x14
2760+x=3220
x=3220-2760
x=460
Restaurants often slip takeout menus under Braden's apartment door. The table shows how many menus Braden has collected from different types of restaurants. Japanese 24 Chinese 1 Thai 9 Indian 4 What is the probability that one of Braden's takeout menus, selected at random, will be from an Indian restaurant? Write your answer as a fraction or whole number.
Answer:
2/19
Step-by-step explanation:
Total menus collected= 24+1+9+4=38
Indian menus collected= 4
Therefore= 4/38 = 2/19
Answer:
1/10
Step-by-step explanation:
What is the volume of the triangular prism below?
V = ____ ft3
Answer:
4.5
Step-by-step explanation:
triangular prism volume = [tex]\frac{1}{4}[/tex]h[tex]\sqrt{-a^{2}+2(ab)^{2} +2(ac)^{2}﹣b^{4}+2(bc)^{2}﹣c^{4} }[/tex]
a = base side = 1.4 ft (after converted from inches to feet)
b = base side= 2 ft
c = base side = 2.5 ft
h = height = 3 ft
plug all the number into the formula
True or false: equilateral triangles can be classified as acute right or obtuse
Answer:
it is only acute
Step-by-step explanation:
False: equilateral triangle has 3 equal sides and 3 equal angles measure 60 degrees
Answer:
True
Step-by-step explanation:
In an equilateral triangle, all sides are equal in length.
That means that all the angles of the triangle will be congruent.
Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.
(180/3=60)
A right triangle must have one 90 degree angle.
An obtuse triangle must have an angle that is greater than 90 degrees.
An acute triangle's angles must all measure 89 degrees or less.
Hence, the given statement is true.
Equilateral triangles can be classified as acute.
Solve the formula for a P=a+b+c
Answer:
[tex]\huge \boxed{a= P-b-c}[/tex]
Step-by-step explanation:
[tex]P=a+b+c[/tex]
Subtracting b and c from both sides.
[tex]P-b-c=a+b+c-b-c[/tex]
Simplifying both sides.
[tex]P-b-c=a[/tex]
P=a+b+c
Subtracting b and c from both sides.
P-b-c=a+b+c-c
Simplifying both sides.
P-b-c=a
Simplify: 6x - 3y + 5y - 10x A) -16x + 2y B) -16x - 8y C) -4x + 2y D) -4x - 8y
Answer:
C) [tex]-4x+2y[/tex]
Step-by-step explanation:
[tex]6x-3y+5y-10x[/tex]
[tex]6x-10x-3y+5y[/tex]
[tex]-4x-3y+5y[/tex]
[tex]-4x+2y[/tex]
PLEASE HELP IMMEDIATELY
What is Dennis's speed? miles per hour Dennis is driving down the East Coast of the United States. He starts in Boston and drives through Hartford Corecticut which is approximately 101 miles away from Boston. He contimies on from Hartford to Baltimore. Baltimore is approximately 410 miles away from Boston. Determine Dennis's average speed from Hartford to Baltimore if that noition of his trip takes 5 hours.
Answer:
61.8 miles/hr
Step-by-step explanation:
Given that
Dennis starts from Boston and travels to Hartford for 101 miles.
And then he travels towards Baltimore which is 410 miles away from Boston.
Time taken from Hartford to Baltimore = 5 hours
Kindly refer to the image attached for the trip of Dennis and the distance traveled by him.
Point A represents Boston.
Point B represents Hartford.
Point C represents Baltimore.
Distance AB = 101 miles
Distance AC = 410 miles
Actually, we are given that Distance BC is traveled in 5 hours.
Distance BC = AC - AB = 410 - 101 = 309 miles
Average Speed is given as:
[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
So,
[tex]\text{Average Speed = }\dfrac{309}{5}\\\Rightarrow \text{Average Speed = }\bold{61.8\ miles/hr}[/tex]
square root of 10
[tex](128 + 2[/tex]
We are given the equation:
√10(128 + 2)
We can simplify what is in parenthesis.
√10(130)
We can put the number in parenthesis on the left side of the square root.
130√10
As a decimal, it would equal approximately 411.10
Best of Luck!
140 + 150 + 160 + 180 + 190 + 200 + 210
Arithmetic Sequence
Answer:
The pattern is positive, and is going up by ten each time. (although I am confused as to why there isn't the number 170 between 160 and 180) hope this helps!
Step-by-step explanation:
your adding ten each time, for example, 180 plus ten is 190, 190 plus ten is 200, and so on.
I have to find an equation for a table
Let's say imput is i and that output is o.
The formula is 2 ^ i = o
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
Notice how the numbers match?
Hope this helped :)
Help with Functions please
Answer:
a. Cube Root
I hope this helps!
Tara is mowing her lawn. She mows 3/5 of her 925-square meter lawn before stopping to chat
with a neighbor. How many square meters does Tara have left to mow after chatting with her
neighbor?
Answer:
370
Step-by-step explanation:
put 925/1 and x by 3/5 you get 2,775/5 divide that you get 555 subtract 925 and 555 you have your answer which is 370
Tara have a total of 370 m² lawn left to mow
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total area of the lawn = 925 m²
Before talking to neighbor
Tara mows ( 3/5 ) of total area of the lawn
So ,
The area left for her to mow is = 1 - 3/5
= 2/5
So , the equation will be
The area for Tara to mow = 2/5 x total area of the lawn
= 2/5 x 925
= 2 x 185
= 370 m²
Hence , Tara have a total of 370 m² lawn left to mow
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If t is directly proportional to s under cube and t = 4 when s = 64. Find
1. the value of t when s = 125
2. the value of s when I = 2.
Answer:
t = 5s = 8Step-by-step explanation:
[tex]t \:\alpha\: \sqrt[3]{s} \\t = k\sqrt[3]{s} \:..........(1)\\\\t = 4, s = 64\\\\Substitute \:the \:values\:into \: equation\: 1\\4 = k\sqrt[3]{64} \\4 = 4k\\Divide \:both\:sides\:of\:the\:equation\:by\:4\\\frac{4}{4}= \frac{4k}{4} \\k = 1\\Substitute k \:for\:1 \:in\:equation\:1\\t = 1\sqrt[3]{s} \\t = \sqrt[3]{s} \:= Formula\:connecting\:t\:and\:s[/tex]
1.
[tex]t = ? , s=125\\\\t = \sqrt[3]{s} \\\\t = \sqrt[3]{125} \\\\t = 5[/tex]
2.
[tex]s = ? , t= 2\\\\t = \sqrt[3]{s} \\\\2 = \sqrt[3]{s} \\Cube\:both\:sides\:of\:the\:equation\\2^3 = \sqrt[3]{s} ^3\\\\8 =s\\s =8[/tex]